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arXiv 1003.1437hep-th
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引力子的希格斯机制

Higgs Mechanism for Gravitons

Ichiro Oda

摘要:

正如规范理论中的矢量规范玻色子一样,引力子也是通过标量场的凝聚,在自同态的自发对称性破缺过程中获得质量的。问题的关键是,我们应该找到引力希格斯机制,使得它在没有非幺正传播模式的平坦闵可夫斯基时空中产生大质量引力。这通常是通过在标量中包含高阶导数项并以适当的方式将宇宙学常数调整为负值来实现的。最近,Chamseddine和Mukhanov提出了一种类似但不同的引力希格斯机制,其中可以将负的宇宙学常数松弛为零或正1。在这项工作中,我们调查为什么非幺正鬼模从物理希尔伯特空间中的一般时空维。此外,我们推广的模型具有任意的潜力,并澄清在什么条件下的一般模型表现出引力希格斯机制。通过对这些条件的求解,我们得到了两类具有引力Higgs机制的势函数。一类包括Chamseddine和Mukhanov在特定情况下的模型,而另一类则是全新的模型。

英文摘要:

Just like the vector gauge bosons in the gauge theories, it is now known that gravitons acquire mass in the process of spontaneous symmetry breaking of diffeomorphisms through the condensation of scalar fields. The point is that we should find the gravitational Higgs mechanism such that it results in massive gravity in a flat Minkowski space-time without non-unitary propagating modes. This is usually achieved by including higher-derivative terms in scalars and tuning the cosmological constant to be a negative value in a proper way. Recently, a similar but different gravitational Higgs mechanism has been advocated by Chamseddine and Mukhanov where one can relax the negative cosmological constant to zero or positive one. In this work, we investigate why the non-unitary ghost mode decouples from physical Hilbert space in a general space-time dimension. Moreover, we generalize the model to possess an arbitrary potential and clarify under what conditions the general model exhibits the gravitational Higgs mechanism. By searching for solutions to the conditions, we arrive at two classes of potentials exhibiting gravitational Higgs mechanism. One class includes the model by Chamseddine and Mukhanov in a specific case while the other is completely a new model.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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